3662126304 has 48 divisors (see below), whose sum is σ = 9836652672. Its totient is φ = 1192318848.

The previous prime is 3662126287. The next prime is 3662126311. The reversal of 3662126304 is 4036212663.

3662126304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3662126304² = 26822338132897400832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 439444 + ... + 447699.

It is an arithmetic number, because the mean of its divisors is an integer number (204930264).

Almost surely, 2^3662126304 is an apocalyptic number.

It is an amenable number.

3662126304 is an abundant number, since it is smaller than the sum of its proper divisors (6174526368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3662126304 is a wasteful number, since it uses less digits than its factorization.

3662126304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887199 (or 887191 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3662126304 is about 60515.5046578974. The cubic root of 3662126304 is about 1541.3849215927.

Adding to 3662126304 its reverse (4036212663), we get a palindrome (7698338967).

The spelling of 3662126304 in words is "three billion, six hundred sixty-two million, one hundred twenty-six thousand, three hundred four".